Improved Minmax Regret 1-Center Algorithms for Cactus Networks with c Cycles

  • Binay Bhattacharya
  • Tsunehiko Kameda
  • Zhao Song
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8392)


In a facility location problem, if the vertex weights are uncertain one may look for a “robust” solution that minimizes “regret.” We present an O(nlogn) (resp. O(cnlogn)) time algorithm for a tree (resp. c-cycle cactus), where n is the number of vertices and c is a constant. Our tree algorithm presents an improvement over the previously known algorithms that run in O(nlog2 n) time. There is no previously published result tailored specifically for a cactus network. The best algorithm for a general network takes O(mn logn) time, where m is the number of edges.


Edge Length Facility Location Problem Tree Network Vertex Weight Minimax Regret 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Binay Bhattacharya
    • 1
  • Tsunehiko Kameda
    • 1
  • Zhao Song
    • 2
  1. 1.School of Computing ScienceSimon Fraser UniversityCanada
  2. 2.Department of Computer ScienceThe University of Texas at AustinUSA

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